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Finding the Fourth Proportional to 386,984.80, 580,582.40 and 162,227.20

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Solution

The fourth proportional to 386,984.80, 580,582.40 and 162,227.20 is: 243,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,984.80 : 580,582.40 = 162,227.20 : x
  2. Step 2: Convert to fraction form
    386,984.80/580,582.40 = 162,227.20/x
  3. Step 3: Cross multiply
    386,984.80x = 580,582.40 × 162,227.20
  4. Step 4: Simplify right side
    386,984.80x = 94,186,257,121.28
  5. Step 5: Solve for x
    x = 94,186,257,121.28/386,984.80
  6. Step 6: Final answer
    x = 243,384.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.